A reliable treatment of singular Emden–Fowler initial value problems and boundary value problems

摘要

In this paper, the variational iteration method (VIM) is used to study the singular Emden–Fowler initial value problems and boundary value problems arising in physics and astrophysics. The VIM overcomes the singularity at the origin. The Lagrange multipliers for all cases of the equations are determined. The work is supported by analyzing few initial value problems and boundary value problems where the convergence of the results is emphasized.